JAMB UTME - Physics - 2011
Pergunta 1 Relatório
An image in a convex lens is upright and magnified 3 times. If the focal length of the lens is 15 cm, what is the object distance?
Detalhes da Resposta
m = v/u = -3
v = -3u
f = 15cm
1/v + 1/U = 1/f1/-3U + 1/u = 1/152/3u = 1/15
3U = 15 x 2
U = 30/3
= 10 cm
Pergunta 2 Relatório
Two balls X and Y weighing 5 g and 50 kg respectively were throne up vertically at the same time with a velocity of 100 ms1 .How will their positions be one second later?
Detalhes da Resposta
v2 = U2 - 2G s
0 = 1002 - 2 x 10 x s = 10000 - 20s
s = (10000)/20 = 500m
Which is independent of mass.the two bodies where acted upon by the same retarding force of gravity which is independent of mass of the body; therefore both will be 500 m from the point of throw.
Pergunta 3 Relatório
A carpenter on top of a roof of 20.0m high dropped a hammer of mass 1.5 kg and it fell directly to the ground. the kinetic energy of the hammer just before hitting the ground is?
[g = 10 ms-2]
Detalhes da Resposta
K e just before hitting the gound
= P e at the maximum height (conservation of mechanical energy)
K e = P e = mgh = 1.5 x 10 x 20
= 300 J
Pergunta 4 Relatório
If the charge of electricity is K wh is N4, what is the cost of operating an electrical appliance rated 250 v,2 A for six hours?
Detalhes da Resposta
Energy consumed = power x time = lvt = 2 x 250 x 6hr = 300 wh = 3 kwh but 1 kwh = N4
3 kwh = 3 x N4 = N 12
Pergunta 5 Relatório
A metal of volume 40 cm3 is heated from 30 °c to 90 °c, the increase in volume is
Detalhes da Resposta
increase in volume, DV = RV1 ∆ θ = 3α Vsub>1 Dθ
= 3 x 2.0 X 10-5 x 40 x (90 - 30)
= 6 x 10-5 x 40 x 60
0.144 cm3
∴ No correct option
Pergunta 6 Relatório
Steam burn is more severe than that of boiling water because
Detalhes da Resposta
The specific latent heat of vaporization of steam is 2.1 x 106JKg-1
while the energy required to raise the temperature of a unit mass of water from 0°c to 100°c = C x Dt = 4200 x 100 = 420000 = 4.2 x 105 JKg-1
? steam possesses greater heat energy per unit mass
Pergunta 7 Relatório
I. change of state
II. Diffusion
III. Radiation
IV. Osmosis
Which of the processes above can be explained using the kinetic theory?
Detalhes da Resposta
Pergunta 8 Relatório
In an A.C circuit, the ratio of r.m.s value to peak value of current is
Detalhes da Resposta
| Irms = | I0 |
| ?2 | |
| Therefore | ?2Irms | = | I0 |
| Irms | = | 1 | |
| I0 | ?2 |
Pergunta 9 Relatório
If the threshold frequency for tungsten is 1.3 x 1015Hz, what is its work function?
[H = 6.6 x 10-34 Js]
Detalhes da Resposta
Work function, w = hfo 6.6 x 10-34 x 1.3 x 1015
= 8.58 x 10-19
Pergunta 10 Relatório
A radioactive isotope has a decay constant of 10-5s4. Calculate half life
Detalhes da Resposta
T (1)/2 = (0.693)/λ = (0.693)/10-5
= 0.693 x 105
= 6.93 x 104 sec
Pergunta 11 Relatório
Which of the following could be effectively used to reduce friction?
Detalhes da Resposta
grease is more viscous than the rest of the liquids
Pergunta 12 Relatório
If a tube of small radius opened at both ends is placed in a liquid, the liquid will
Detalhes da Resposta
The liquid will rise up the capillary if it wets glass and falls below its wets glass and falls below its initial level if it does not wet glass
Pergunta 13 Relatório
Which of the following materials has an increase in resistance with temperature?
Detalhes da Resposta
Resistance in metals are proportional to temperature
Pergunta 14 Relatório
If the volume of a gas increases steadily as the temperature decreases at constant pressure, the gas obeys
Detalhes da Resposta
Pergunta 15 Relatório
Under which of the following conditions do gases conduct electricity?
Detalhes da Resposta
Under high potential difference and low pressure gases are good conductor of electricity
Pergunta 16 Relatório
A certain far - sighted person cannot see object that are closer to the eye than 50 cm clearly. Determine the power of the converging lens which will enable him to see at 25 cm
Detalhes da Resposta
V = - 50, U = 25CM
(1)/r = (1)/v + (1)/u = (1)/-50 + (1)/25 = (1 + 2)/50 = (1)/50 f = +50cm = +0.5m
p = (1)/r = (1)/0.5 = (10)/5 = 2 diopters
The power of a lens is the reciprocal of the focal length in meters. it is expressed in diopters.
Pergunta 17 Relatório
Which of the following electromagnetic waves has the highest frequency?
Detalhes da Resposta
r - rays has the highest frequency followed by X - rays, ultraviolet ray, visible light intra - red and the least is radio weaves
Pergunta 18 Relatório
Which of the following will be applied when a metal Y is used to electroplate another metal X in electrolysis?
Detalhes da Resposta
Metals and hydrogen are deposited at the cathode, while non-metals and oxygen are deposited on the anode
∴ metals Y will form the anode which is deposited at the cathode made of x
Pergunta 19 Relatório
A copper wire was subjected to a tensile stress of 7.7 x 107 x 10 Nm-2. calculate strain of the wire.
[young modules = 1.1 x 1011 Nm-2]
Detalhes da Resposta
Young modules = Tensile stressTensile strain
= 1.1×1011=7.7×107Tensile Strain
∴ Tensile strain = 7.7×1071.1×1011
= 7.0×107−11=7.0×10−4
Pergunta 20 Relatório
An object of mass 2 kg moves with a velocity of 10 ms1 round at circle of radius 4 m. Calculate the centripetal force on the object
Detalhes da Resposta
Centripetal force,
F = mv2r
= 2×1024
= 2004
= 50N
Pergunta 21 Relatório
The electrical properties of germanium can be altered drastically by the addition of impurity. This process is referred to as
Detalhes da Resposta
Pergunta 22 Relatório
A man standing on a lift that is descending does not feel any weight because
Detalhes da Resposta
The resultant force acting on the man is given by w = mg - R
Mg - mg = 0
The man feels weightless because the reaction, R is equal to the weight mg
Pergunta 24 Relatório
Three similar cells each of e.m.f 2 v and internal resistance 2Ω are connected in parallel, the total e.m.f and total internal resistance are respectively
Detalhes da Resposta
Total energy in parred connection is equal to emt of one cell, = 2v but total internal resistance is given by
(1)/r = (1)/r1 + (1)/r2 + (1)/r3 = (1)/2 + (1)/2 + (1)/2 = (3)/2
∴ r = (2)/3 = 0.67Ω
Pergunta 25 Relatório
The eclipse of the sun occurs when the
Detalhes da Resposta
Eclipse of the sun occurs when the moon which is opaque objects between the sun and the earth
Pergunta 26 Relatório
In measuring high frequency a.c, the instrument used is the
Detalhes da Resposta
Hot wire ammeter is used because the heat affect of A C is same as that of DC
Pergunta 27 Relatório
The diagram above shows two vectors at right angles to each other. The value of the resultant vector is
Detalhes da Resposta
The resultant, R is given by pythagoras rule, R2 = P2 + Q2
= 62 + 82 = 36 + 64 = 100
R = √100 = 10.0N
Pergunta 29 Relatório
Which of the following is a property of steel?
Detalhes da Resposta
Steel is not easily magnetized and dismagnetized
Pergunta 30 Relatório
Two inductors of inductance 4 II and 8 II are arrange in series and a current of 10 A is passed through them. What is the energy stored in them?
Detalhes da Resposta
Effective inductance
(1)/L = (1)/4 + (1)/8 = (3)/8
∴ L = (8)/3
Energy stored = (1)/2 LI2
= (1)/2 x (8)/3 x 10 x 10 = (400)/3 = 133.3 J
Pergunta 31 Relatório
The diagram above show the positions of a cone. The position which can be described as neutral equilibrium is represented as
Detalhes da Resposta
Under neutral equilibrium, the body rolls and the position of the center of gravity , C. G is neither raised nor lowered
Pergunta 32 Relatório
I. Density of the liquid.
II. Depth below the surface of the liquid.
III. Surface area of the liquid.
In which of the statement above will pressure be dependent?
Detalhes da Resposta
Pressure in liquid is independent of cross sectional area of the container/ liquid
∴ the correct options are I & II
Pergunta 33 Relatório
When a red rose flower is observed in blue light, what colour does the observer see?
Detalhes da Resposta
The colour which an object presents to the eye is the colour of light it reflects. Red rose flower will therefore absorb any other colour and reflect red. Therefore when viewed in blue light, it has no colur to reflect and will therefore appear black. Although mixture of red light and blue light = magenta . NO correct option.
Pergunta 34 Relatório
Two resistors 5Ω and 10Ω are arranged first in series and later in parallel to a 24V source, the ratio of total power dissipated in the series and parallel arrangements respectively is
Detalhes da Resposta
Pergunta 35 Relatório
A cannon is fired from town X,after how long is the sound heard at a town Y 4.95 km away?
[velocity of sound in the air = 330 ms-1]
Detalhes da Resposta
V = (2X)/t
330 = (2 x 4.95 x 103)/t
t = (9.9. x 103/330 = (9900)/330 = (90)/3
= 30 secs
Pergunta 36 Relatório
A perfect emitter or absorber of radiant energy is a
Detalhes da Resposta
Dull, black surface are good emitters or absorbers of energy
Pergunta 37 Relatório
If it takes an object 3s to fall freely to the ground from a certain height, what is the distance covered by the object?
Detalhes da Resposta
S = (1)/2gt2
S = (1)/2 x (10)/1 x 32 =5 x 9 = 45 m
Pergunta 38 Relatório
A length of wire has a frequency of 255Hz when stretched by a force of b225N. If the fore increased to 324N, what is the new frequency of vibration
Detalhes da Resposta
f1 = 255Hz, T1 = 225N
f2 = ? T2 = 324N
But f ∝ √T => f = K√T
=> K = f/√T
∴ f1/√T1 = f2/√T2225/√225 = f2/√324
| f2 = | 225√225 |
| √225 |
| = | 225 x 18 |
| __15 |
= 306Hz
Pergunta 39 Relatório
The phenomenon that shows that increase in pressure lowers the melting point can be observed in
Detalhes da Resposta
Regelation means refreezing a phenomenon whereby melted ice free from increased pressure refreezed when they are released from the pressure.
Pergunta 40 Relatório
The ground is always cold at night because the
Detalhes da Resposta
The earth radiate heat to the atmosphere at night thereby lowering the temperature of the ground
Pergunta 41 Relatório
When the human eye loses its power of accomodation, the defect is known as
Detalhes da Resposta
presbyopia is loss of accommodation
Pergunta 42 Relatório
A machine is used to lift a load of 20 N through a height of 10 m. if the efficiency of the machine is 40%, how much work is done?
Detalhes da Resposta
Efficiency = work outputwork input×1001
= 40 = 20×10x×1001
= 500J
Pergunta 43 Relatório
I. High thermal capacity.
II. High sensitivity.
III.Easy readability.
IV. Accuracy over a wide range of temperature
From the statement above, the qualities of a good thermometer are
Detalhes da Resposta
A good thermometric liquid should not have a high thermal capacity so that the themperetue of the body being measured will not be affected
? II, III and IV are qualities of a good thermometer
Pergunta 44 Relatório
The capacitance of a parallel plate capacitor is 20 μf in air and 60 μf in the presence of a dielectric. What is the dielectric constant?
Detalhes da Resposta
Dielectric constant = (c)/c° = (60)/20 = 3
Pergunta 45 Relatório
In the circuit above, three resistors, 2Ω, 4Ω and 12Ω are connected in parallel and a 12V battery is connected across the combination. The current flowing through the 12Ω resistors is
Detalhes da Resposta
| I | V |
| R |
| = | 12 |
| 12 |
= 1A
Pergunta 46 Relatório
The correct expression for the potential at a point distance r from a charge q in an electric field is
Detalhes da Resposta
Electric potential is work done in taking a unit mass or charge from infinity to that point
| V = | w | = | Fr | = | Q1Q2 | x | r |
| Q | Q | 4πεor2 | Q1 |
| = | _q |
| 4πεor |
Pergunta 47 Relatório
An object weighs 22 kg in water and 30kg in air. what is the upthrust exerted by the liquid on the object.
[g = 10 ms2]
Detalhes da Resposta
upthrust = weight in air - weight in liquid = 30 x 10 - 22 x 10 = 300 - 220 = 80 N
Pergunta 48 Relatório
A block of aluminum is heated electrically by a 25 W heater. if the temperature rises by 10°C in 5 minutes, the heat capacity of the aluminum is?
Detalhes da Resposta
Heat supplied = Heat gained
P x t = C ∆ Ø
(25 x 5 x 60)/300 = 750 JK-1
Pergunta 49 Relatório
In homes, electrical appliances and lamps are connected in parallel because
Detalhes da Resposta
The voltage of a circuit is the same whether in parallel or in series. Parallel and series affects resistance and current. So the answer should be it uses less current.
Pergunta 50 Relatório
Which of the following types of waves needs a medium for propagation?
Detalhes da Resposta
Sound is the only mechanical wave among the rest which are electromagnetic waves.
